This topic is on divisibility rule of 4 and will provide examples on the same.
Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4
For Example: 524
The last two digit of the number is 24 which is divisible by 4. That is 24/4 = 6. Hence 524 is also divisible by 4
Here are few examples on the divisibility rule of 4:
1. Check whether the following numbers are divisible by 4 or not?
(i) 656
(ii) 740
(iii) 123
(iv) 115
(v) 220
(vi) 996
(v) 425
(vi) 7896
(vii) 8430
(viii) 1136
(ix) 729
(x) 452
Solution:
(i) 656
The last two digit 56 is divisible by 4 i.e. 56/4 = 14. Hence 656 is divisible by 4
(ii) 740
The last two digit 40 is divisible by 4 i.e. 40/4 = 10. Hence 740 is divisible by 4
(iii) 123
23 the last two digit of 123 is not divisible by 4 hence the number 123 is not divisible by 4
(iv) 115
The last two digit 15 is not divisible by 4 hence the number 115 is not divisible by 4
(v) 220
20 is divisible by 4 i.e. 20/4 = 5. Hence 220 is divisible by 4
(vi) 996
The last two digit 96 is divisible by 4 i.e. 96/4 = 24. Hence 996 is divisible by 4
(v) 425
25 is the last two digit of 425 is not divisible by 4 hence the number 425 is not divisible by 4
(vi) 7896
The last two digits of 7896 are 96. 96 is divisible by 4 i.e. 96/4 = 24. Hence, 7896 is divisible by 4
(vii) 8430
The last two digits of 8430 are 30. 30 is not divisible by 4 hence, 8430 is not divisible by 4
viii) 1136
36 is divisible by 4. That is 36/4 = 9. Hence, 1136 is divisible by 4
(ix) 729
The last two digit 29 is not divisible by 4 hence the number 729 is not divisible by 4
(x) 452
In 452 the last two digit is 52 and 52/4 = 13 hence 452 is divisible by 4
2. Fill in the blanks with digit such that the number becomes divisible by 4:
(i) 2 …. 8
(ii) 56 …. 0
(iii) …. 56
(iv) 89 ….
(v) 6 …. 6
(vi) 46 ….
(vii) 566….
(viii) 25 ….
(ix) 8 …. 0
(x) 36 ….
Solution:
(i) 288
(ii) 5600
(iii) 956
(iv) 896
(v) 636
(vi) 464
(vii) 5660
(viii) 252
ix) 800
(x) 364
Explanation:
Digits are filled in such a way such that the last two digits are made divisible by 4. Since last two digits are divisible by 4 the whole number is divisible by 4
3. Rewrite the series with the numbers that are divisible by 4 with red color.
56 84 859 664 753 8432 996 164 204 375 1172 888 553
Solution:
56 84 859 664 753 8432 996 164 204 375 1172 888 553
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